Find the LCM.
-$m^{2}+4 m, m^{2}+7 m+12$
A) $m(m+1)^{2}$
B) $m(m+4)(m+3)$
C) $m(x+1)(m+3)$
D) $(m+1)^{2}$

Name: Find the LCM. -$m^{2}+4 m, m^{2}+7 m+12$ A) $m(m+1)^{2}$ B) $m(m+4)(m+3)$ C) $m(x+1)(m+3)$ D) $(m+1)^{2}$
Brand: Quizplus
Rating: 4.7 (34 reviews)

Question

Quizplus · Accepted Answer

The LCM of two algebraic expressions is found by taking the product of the highest power of all factors present in the expressions. Factorizing both expressions: $m^{2}+4 m = m(m+4)$ and $m^{2}+7 m+12 = (m+3)(m+4)$. The LCM is $m(m+4)(m+3)$, which matches option B.

Find the LCM m2+4m,m2+7m+12m^{2}+4 m, m^{2}+7 m+12m2+4m,m2+7m+12 A) m(m+1)2m(m+1)^{2}m(m+1)2 B) m(m+4)(m+3)m(m+4)(m+3)m(m+4)(m+3) C) m(x+1)(m+3)m(x+1)(m+3)m(x+1)(m+3) D) (m+1)2(m+1)^{2}(m+1)2

Find the LCM $m^{2}+4 m, m^{2}+7 m+12$ A) $m(m+1)^{2}$ B) $m(m+4)(m+3)$ C) $m(x+1)(m+3)$ D) $(m+1)^{2}$